Evaluate the Integral $\int _ { 0 } ^ { 2 } 3 x \sqrt { 4 x + 4 } \mathrm {~d} x$

Evaluate the integral. $\int _ { 0 } ^ { 2 } 3 x \sqrt { 4 x + 4 } \mathrm {~d} x$

A) $0.5 \left( 2 \cdot 12 ^ { 3 } - 0.1 \cdot \left( 12 ^ { 5 } + 2 ^ { 5 } \right) \right)$
B) $0.5 \left( 2 \cdot 12 + 0.1 \cdot \left( 12 ^ { \frac { 2 } { 3 } } + 2 ^ { \frac { 2 } { 3 } } \right) \right)$
C) $0.5 \left( 2 \cdot 12 ^ { \frac { 3 } { 2 } } - 0.1 \cdot \left( 12 ^ { \frac { 5 } { 2 } } - 4 ^ { \frac { 5 } { 2 } } \right) \right)$
D) $0.5 \left( 2 \cdot 12 ^ { \frac { 1 } { 2 } } - 0.1 \cdot \left( 12 ^ { \frac { 3 } { 2 } } - 4 ^ { \frac { 3 } { 2 } } \right) \right)$
E) $0.5 \left( 2 \cdot 12 ^ { \frac { 3 } { 2 } } - 0.1 \cdot \left( 12 ^ { \frac { 1 } { 2 } } - 4 ^ { \frac { 1 } { 2 } } \right) \right)$

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